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Finding the Third Proportional to 374,174.44 and 820,781.44

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Solution

The third proportional to 374,174.44 and 820,781.44 is: 1,800,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,174.44 : 820,781.44 = 820,781.44 : x
  2. Step 2: Convert to fraction form
    374,174.44/820,781.44 = 820,781.44/x
  3. Step 3: Cross multiply
    374,174.44x = 820,781.44 × 820,781.44
  4. Step 4: Simplify right side
    374,174.44x = 673,682,168,144.57
  5. Step 5: Solve for x
    x = 673,682,168,144.57/374,174.44
  6. Step 6: Final answer
    x = 1,800,449.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.